Fixed Point Theory and Applications 
Volume 2007 (2007), Article ID 83420, 16 pages
doi:10.1155/2007/83420
Research Article

Estimating Nielsen Numbers on Wedge Product Spaces

Nirattaya Khamsemanan1 and Seung Won Kim2

 1Department of Mathematics, University of Connecticut, Storrs 06269, CT, USA
2School of Mathematics, Korea Institute for Advanced Study, Seoul 130722, South Korea
Received 8 May 2007; Accepted 14 November 2007

Recommended by Evelyn Hart

Abstract

Let f:X→X be a self-map of a finite polyhedron that is an aspherical wedge product space X. In this paper, we estimate the Nielsen number N(f) of f. In particular, we study some algebraic properties of the free products and then estimate Nielsen numbers on torus wedge surface with boundary, Klein bottle wedge surface with boundary, and torus wedge torus.